Apian, Petrus
,
Instrvmentvm Sinvvm, sev primi mobilis
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GENVINVS VSVS
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adſeruo pro diuiſore, is eſt 48557. </
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<
s
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xml:space
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">hinc ſi ſinũ declinationis 18. </
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<
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<
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<
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<
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">ſcilicet 32501
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duxero in totum, & </
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<
s
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">productũ diuiſero in ipſum diuiſorẽ, tunc ſane quotiens producet
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666933. </
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<
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">cuius arcus eſt 42. </
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<
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<
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">quo ſubtracto â 90. </
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<
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<
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">grad. </
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<
s
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">ipſa ſcilicet altitu
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do poli, urbis Auguſtæ Vindelicorum, ubi ſolennis illa intronizatio celebrata eſt.</
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<
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">PRONVNCIATVM LIX.</
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<
s
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">Si quis ante nouerit duo puncta eclypticæ, & </
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<
s
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xml:space
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">arcum inter ea cõcluſum, ſi-
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militer & </
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<
s
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xml:space
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">aſcenſionem obliquam (qui gradus ſunt æquatoris cum noto iſto
<
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loco eclypticæ in eadem regione coaſcendentes) inde quo eleuationem po
<
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larem eius regionis, in qua fit talis aſcenſio, colligere.</
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<
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</
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<
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<
s
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xml:space
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">Principio hic diligenter conſidera duo illa pũcta eclypticæ, an æquales habeant decli
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nationes ab æquatore ſiue nõ, ꝙ ſi æquales habuerint, ſtatim tunc operationẽ omnẽ in-
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termitte, actũ enim ages, nec quicquã in ea efficies. </
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<
s
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xml:space
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">Sin aũt declinatiões fuerint inæqua
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les, ſic age, ipſas tibi ꝓpone declinationes cũ ſuis cõplementis & </
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<
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">ſinubus, deinde etiã ad
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iunge gradus æquatoris, qui cũ illo arcu aſcenderunt ſuper horizontã (nõ ſic ut antea co
<
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/>
gnoſcendũ tibi ſit, quo ad nume℞, ubi tandẽ in æquinoctiali arcus iſte deſinat aut cœpe
<
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/>
rit, ſed ut noris, q̊t gradus cũ arcu noto eclypticæ in horizonte obliquo aſcenderint) De
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inde adhuc circumſpice, an utrun illud eclypticæ punctum ſit in medietate eclypticæ
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ſeptentrionali uel meridionali, & </
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<
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">tũc operationẽ ſic aggredere. </
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<
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">Quære primo ad utrũ
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terminũ eclypticæ aſcenſionem rectã, & </
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<
s
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xml:space
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">eorũ diſtantiã ſepone in locũ ſingularem, quo-
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niam illa erit aſcenſio recta ambo℞, eã confer ad aſcenſionem obliquã, ex obſeruatione
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iam antea notã, minorem ex is ſubtrahe à maiori, q̊d reliquũ erit, dicetur differentia aſcẽ
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ſionum, eius differentiæ ſinũ duc in ſinũ cõplementi maioris declinationis terminorum
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<
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<
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</
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arcus eclypticæ, productũ diuide in ſinum perfectũ, & </
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<
s
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">arcũ quotientis inquire, qui uoca
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bitur inuentũ primũ. </
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<
s
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">Sinum cõplementi huius inuenti ꝓpone tibi, ſimul´ ſinũ maioris
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<
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</
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declinationis, minorem duc in ſinũ perfectũ, & </
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<
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">ꝓductũ diuide in maiorẽ. </
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<
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xml:space
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">hinc quære ar-
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cum quotientis, & </
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<
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xml:space
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">inde ſubtracta declinatione maiori, remanebit inuentũ ſecundũ. </
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<
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<
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<
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</
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rò duc ſinũ cõplementi inuenti primi in ſinũ cõplemẽti inuenti ſecũdi, ꝓductũ diuide in
<
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<
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</
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ſinũ totũ, & </
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<
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">quotientis arcũ ſubtrahe à 90. </
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<
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">ſinũ quo huius reſidui unà cũ ſinu primi in-
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uenti ſepone in locũ peculiarẽ. </
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<
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">Minorẽ duc in totũ, ꝓductũ diuide in maiorem, & </
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<
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<
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</
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tientẽ rurſus duc in ſinũ cõplementi declinationis minoris, & </
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<
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">ꝓducto in ſinũ ꝑfectũ di-
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uiſo, arcus quotientis oſtẽdet altitudinẽ poli quæſitam. </
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<
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<
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">? Nũc aũt animaduerte ad ex
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PLVM
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<
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<
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pi.</
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</
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emplũ, q̊d in hac re tibi damus huiuſmodi. </
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<
s
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<
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">hora intronizatiõſs obſer
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uaui aſcenſionẽ obliquã in æꝗnoctialiab ortu Solis uſ horã & </
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<
s
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">minutũ intronization-
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nis. </
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<
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xml:id
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xml:space
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">At quũ ☉(sun) fuerit (ut ſæpe diximus) in 2. </
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<
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<
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<
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<
s
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">II, ego´ diligent ab ortu ☉(sun) ho
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ram ex q̊cun horalogio certã cũ minutis cognouerim uſ ad tempus intronizationis,
<
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puta horas 4. </
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<
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<
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<
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<
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<
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<
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<
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<
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">quæ
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aſcenſio eſt obliqua, horizõtem q̊ ſub ipſum tempus intronizationis tãgebat 5. </
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<
s
xml:id
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<
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mi. </
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<
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">♌. </
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<
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">Iam igit̃ quæro aſcẽſionem rectã ad gra. </
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<
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<
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<
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<
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">ea eſt 60. </
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<
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<
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<
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<
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liter & </
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<
s
xml:id
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">ſuꝑ gradũ aſcendentis .</
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<
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<
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<
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<
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xml:id
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<
s
xml:id
="
echoid-s4324
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">mi. </
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<
s
xml:id
="
echoid-s4325
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xml:space
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">♌, ibieſt aſcenſio recta 127. </
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<
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xml:id
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<
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<
s
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</
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<
s
xml:id
="
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xml:space
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">ſubtracta aſcenſione minore à maiore, remanent 67. </
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>
<
s
xml:id
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>
<
s
xml:id
="
echoid-s4331
"
xml:space
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">& </
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>
<
s
xml:id
="
echoid-s4332
"
xml:space
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">ꝗa reſiduũ hoc aſcenſionum
<
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recta℞ minus eſt aſcenſiõe obliqua, quã ex obſeruatione cognoui, ſubtraho illud & </
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>
<
s
xml:id
="
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<
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nent 2. </
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<
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xml:id
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<
s
xml:id
="
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<
s
xml:id
="
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<
s
xml:id
="
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xml:space
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">differentia iſta aſcenſionalis, ſinũ eius 4129. </
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>
<
s
xml:id
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">duco in ſinũ cõplementi
<
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<
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<
emph
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">Inuentum</
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<
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<
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<
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<
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</
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declinationis maioris. </
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<
s
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<
s
xml:id
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">gradus Solis, hoc eſt in 93544. </
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<
s
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xml:space
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">& </
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<
s
xml:id
="
echoid-s4342
"
xml:space
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">diuido in totũ ſinũ, unde pro
<
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/>
ueniũt in q̊tiente 3862. </
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>
<
s
xml:id
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">inuentũ puta hoc primũ. </
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>
<
s
xml:id
="
echoid-s4344
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">Arcus illius eſt 2. </
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>
<
s
xml:id
="
echoid-s4345
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">gra. </
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<
s
xml:id
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<
s
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<
s
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">Cõplemen
<
lb
/>
tum uero 87. </
s
>
<
s
xml:id
="
echoid-s4349
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4350
"
xml:space
="
preserve
">47. </
s
>
<
s
xml:id
="
echoid-s4351
"
xml:space
="
preserve
">duco igitur ſinũ declinationis gra. </
s
>
<
s
xml:id
="
echoid-s4352
"
xml:space
="
preserve
">☉(sun) tan̈ maiorẽ declinationem
<
lb
/>
in ſinũ totũ & </
s
>
<
s
xml:id
="
echoid-s4353
"
xml:space
="
preserve
">ꝓductũ diuido in ſinũ cõplemẽti primi inuenti. </
s
>
<
s
xml:id
="
echoid-s4354
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s4355
"
xml:space
="
preserve
">99925. </
s
>
<
s
xml:id
="
echoid-s4356
"
xml:space
="
preserve
">ſic ꝓdibunt in q̊
<
lb
/>
tiente 35373. </
s
>
<
s
xml:id
="
echoid-s4357
"
xml:space
="
preserve
">in arcu faciunt 20. </
s
>
<
s
xml:id
="
echoid-s4358
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4359
"
xml:space
="
preserve
">43. </
s
>
<
s
xml:id
="
echoid-s4360
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4361
"
xml:space
="
preserve
">Vnde ſubtracta declinatione gradus aſcen-
<
lb
/>
dentis, quia minore, remanet 1. </
s
>
<
s
xml:id
="
echoid-s4362
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4363
"
xml:space
="
preserve
">cũ 45. </
s
>
<
s
xml:id
="
echoid-s4364
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4365
"
xml:space
="
preserve
">q̊d etiam ob diſcrimen uocamus inuentũ
<
lb
/>
<
note
position
="
left
"
xlink:label
="
note-0062-08
"
xlink:href
="
note-0062-08a
"
xml:space
="
preserve
">
<
emph
style
="
it
">Inuentum</
emph
>
<
lb
/>
<
emph
style
="
it
">ſecũdũ gra.</
emph
>
<
lb
/>
<
emph
style
="
it
">1. mi. 45.</
emph
>
</
note
>
ſecundum. </
s
>
<
s
xml:id
="
echoid-s4366
"
xml:space
="
preserve
">Deinceps duco cõplementũ inuenti primi 99925. </
s
>
<
s
xml:id
="
echoid-s4367
"
xml:space
="
preserve
">in ſinũ cõplementi inuen
<
lb
/>
ti ſecundi. </
s
>
<
s
xml:id
="
echoid-s4368
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s4369
"
xml:space
="
preserve
">99953. </
s
>
<
s
xml:id
="
echoid-s4370
"
xml:space
="
preserve
">ꝓductũ diuido in totũ, & </
s
>
<
s
xml:id
="
echoid-s4371
"
xml:space
="
preserve
">q̊tiens eſt 99878. </
s
>
<
s
xml:id
="
echoid-s4372
"
xml:space
="
preserve
">arcus eius 87. </
s
>
<
s
xml:id
="
echoid-s4373
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4374
"
xml:space
="
preserve
">11. </
s
>
<
s
xml:id
="
echoid-s4375
"
xml:space
="
preserve
">mi.
<
lb
/>
</
s
>
<
s
xml:id
="
echoid-s4376
"
xml:space
="
preserve
">Complementũ ipſius 2. </
s
>
<
s
xml:id
="
echoid-s4377
"
xml:space
="
preserve
">gra. </
s
>
<
s
xml:id
="
echoid-s4378
"
xml:space
="
preserve
">49. </
s
>
<
s
xml:id
="
echoid-s4379
"
xml:space
="
preserve
">mi. </
s
>
<
s
xml:id
="
echoid-s4380
"
xml:space
="
preserve
">ſinũ eius tan̈ minorem duco in totũ, & </
s
>
<
s
xml:id
="
echoid-s4381
"
xml:space
="
preserve
">ꝓductũ di-
<
lb
/>
uido in ſinũ inuenti primi. </
s
>
<
s
xml:id
="
echoid-s4382
"
xml:space
="
preserve
">ſ. </
s
>
<
s
xml:id
="
echoid-s4383
"
xml:space
="
preserve
">3862. </
s
>
<
s
xml:id
="
echoid-s4384
"
xml:space
="
preserve
">quotiẽs producet 78591. </
s
>
<
s
xml:id
="
echoid-s4385
"
xml:space
="
preserve
">Hũc iterum duco in </
s
>
</
p
>
</
div
>
</
text
>
</
echo
>
